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http://dx.doi.org/10.22771/nfaa.2021.26.05.08

COMMON FIXED POINT THEOREMS IN G-FUZZY METRIC SPACES WITH APPLICATIONS  

Tiwari, Rakesh (Department of Mathematics, Government V. Y. T. Post-Graduate Autonomous College)
Rajput, Shraddha (Department of Mathematics, Shri Shankaracharya Technical Campus)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.5, 2021 , pp. 971-983 More about this Journal
Abstract
In this paper, we prove common fixed point theorems for six weakly compatible mappings in G-fuzzy metric spaces introduced by Sun and Yang [16] which is actually generalization of G-metric spaces. G-metric spaces coined by Mustafa and Sims [13]. The paper concerns our sustained efforts for the materialization of G-fuzzy metric spaces and their properties. We also exercise the concept of symmetric G-fuzzy metric space, 𝜙-function and weakly compatible mappings. The results present in this paper generalize the well-known comparable results in the literature. We justify our results by suitable examples. Some applications are also given in support of our results.
Keywords
Fixed point; t-norm; G-metric spaces; G-fuzzy metric spaces; weakly compatible mapping;
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